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Finding the Third Proportional to 595,124 and 893,984

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Solution

The third proportional to 595,124 and 893,984 is: 1,342,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,124 : 893,984 = 893,984 : x
  2. Step 2: Convert to fraction form
    595,124/893,984 = 893,984/x
  3. Step 3: Cross multiply
    595,124x = 893,984 × 893,984
  4. Step 4: Simplify right side
    595,124x = 799,207,392,256
  5. Step 5: Solve for x
    x = 799,207,392,256/595,124
  6. Step 6: Final answer
    x = 1,342,925.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.